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Sphinxa [80]
3 years ago
12

If x^2 + 1/x^2 = 98 find x + 1/x​

Mathematics
1 answer:
Pavel [41]3 years ago
5 0
Given,

x
2
+
x
2

1
​
=98

(x+
x
1
​
)
2
=x
2
+
x
2

1
​
+2

98+2=100

∴x+
x
1
​
=10

(x+
x
1
​
)
3
=x
3
+
x
3

1
​
+3(x+
x
1
​
)

x
3
+
x
3

1
​
+3(x+
x
1
​
)=1000

x
3
+
x
3

1
​
=1000−3(10)=
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Gre4nikov [31]
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8 0
4 years ago
Ms. Brooks put $1200 in a 3 retirement account that offers 8% interest compounded annually. Ms. Brooks makes no additional depos
Leona [35]

Answer:

$1,408.21.

Step-by-step explanation:

Since it is compounded annually we could use the formula

A=Pe^rt

We know that the initial amount she deposits is $1200, as stated by the problem. That is our P.

e is well, the e in your calculator which is approximately: 2.7182818284590452353602874713527

r is the rate which is 8%, although you must convert this into a decimal, which would be 0.08 as your r.

Lastly, t is the time, so in this case, 2 years.

And then plug in the values.

A=1200(e)^(0.08)(2)

A=1200(e)^(0.16)

A=1200(1.173510870991810235018611086892)

A=1,408.2130451901722820223333042704

Now since it is a money problem we must put it in the correct format.

A=$1,408.21

4 0
3 years ago
$500 shared in ratio 2:3:9
RideAnS [48]
2:3:9......added together = 14

2/14 (500) = 1000/14 = 71.43
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6 0
3 years ago
Lance and Brandon purchased items at the sporting goods store and spent the same amount of money. Lance bought 18 shirts for his
Shtirlitz [24]

Answer:

$12.50

Step-by-step explanation:

18 - 12 = 6

Brandon bought 6 less than Lance and payed $75 dollars shoes.

That means that 6 shirts cost $75.

We need to divide 6 from 75

75/6 = 12.5

So each shirt costs $12.50.

Hope this helped

Stay curious!

7 0
4 years ago
Y = x² + 4x + 8<br> Sketch the graph of each function be sure to show your table of values
kherson [118]

Answer:

see attachment

Step-by-step explanation:

We want to sketch the graph of

y =  {x}^{2}  + 4x + 8

We want to use tables so we choose some few points and plot.

When x=-6,

y=(-6)²+4(-6)+8=20

When x=-4,

y=(-4)²+4(-4)+8=8

When x=0,

y=(-2)²+4(-2)+8=4

When x=0,

y=(0)²+4(0)+8=8

When x=2,

y=(2)²+4(2)+8=20

The table and graph are shown in attachment.

7 0
3 years ago
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